289418401 has 2 divisors, whose sum is σ = 289418402. Its totient is φ = 289418400.

The previous prime is 289418383. The next prime is 289418411. The reversal of 289418401 is 104814982.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 289034001 + 384400 = 17001^2 + 620^2 .

It is a cyclic number.

It is not a de Polignac number, because 289418401 - 2⁵ = 289418369 is a prime.

It is not a weakly prime, because it can be changed into another prime (289418411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 144709200 + 144709201.

It is an arithmetic number, because the mean of its divisors is an integer number (144709201).

Almost surely, 2^289418401 is an apocalyptic number.

It is an amenable number.

289418401 is a deficient number, since it is larger than the sum of its proper divisors (1).

289418401 is an equidigital number, since it uses as much as digits as its factorization.

289418401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 289418401 is about 17012.3014610017. The cubic root of 289418401 is about 661.4678083899.

The spelling of 289418401 in words is "two hundred eighty-nine million, four hundred eighteen thousand, four hundred one".